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3 years ago

How many distinct triangles can be drawn using three of the dots below as vertices?

Mathematics

1 answer:

Dima020 [189]3 years ago

4 0

Answer:

Step-by-step explanation:

There are 6 dots. The number of ways we can select 3 from 6 is:

₆C₃ = 6! / (3! (6−3)!)

₆C₃ = 6! / (3! 3!)

₆C₃ = 6×5×4 / (3×2×1)

₆C₃ = 20

However, 2 of these combinations are lines, not triangles.

So there are 18 possible distinct triangles.

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X² +5-x when x = 5 Jamaymaykgajwnammagmaganhsnagm

Levart [38]

Answer:

Step-by-step explanation:

you first solve for the expontes. 5 to the power of 2 is 25 plus 5 is 30. subtract 5 from that and we're back at 25

3 0

2 years ago

Read 2 more answers

From Statistics and Data Analysis from Elementary to Intermediate by Tamhane and Dunlop, pg 265. A thermostat used in an electri

Leviafan [203]

Answer:

$t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32$

The degrees of freedom are given by:

$df=n-1=10-1=9$

The p value for this case is given by:

$p_v =2*P(t_{(9)}>2.32)=0.0455$

For this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 200 F.

Step-by-step explanation:

Information given

data: 202.2 203.4 200.5 202.5 206.3 198.0 203.7 200.8 201.3 199.0

We can calculate the sample mean and deviation with the following formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=201.77$ represent the sample mean

$s=2.41$ represent the sample standard deviation

$n=10$ sample size

$\mu_o =200$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to test

We want to determine if the true mean is equal to 200, the system of hypothesis are :

Null hypothesis: $\mu = 200$

Alternative hypothesis: $\mu = 200$

The statistic for this case is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

The statistic is given by:

$t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32$

The degrees of freedom are given by:

$df=n-1=10-1=9$

The p value for this case is given by:

$p_v =2*P(t_{(9)}>2.32)=0.0455$

4 0

3 years ago

Hhhhhheeeeelllllllllllppppppp now!!!!!

ryzh [129]

Answer:

C I’m not sure tho

Step-by-step explanation:

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3 years ago

What is the value of c ? X^2+3x+c=7/4+c

Musya8 [376]

Answer:

c = 2.25

Step-by-step explanation:

For the given equation, we can find the value of c by dividing the numerical coefficient of the left-hand side of the equation by 2 and squaring the quotient obtained.

$c = ( \frac { 3 } { 2 } )^ 2$

Solving for c to get:

$c = 2 . 2 5$

It means that this value of c is added to both sides of the equation.

4 0

3 years ago

(Need a QUICK ANSER) The slope of the graph of y = x is _____?

Furkat [3]

Answer by, Kkmmll44 :P

Since there is no graph included in the question, the most reasonable answer would be 0. The slope would be 0 because they didn't give you a graph for the question.

Brainliest please!

Hope this helped :)

6 0

4 years ago